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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve: 16x² − 81 = 0.
x = 4, 9, x = - 4, - 9, x = 9 over 4, x = - 9/4, x = 81/16, x = - 81/16
Solution:
Given equation is 16x² − 81 = 0.
Step 1: Rewrite the equation in the form of a² - b² .
⇒ (4x)² - (9)² = 0
Step 2: By using the algebraic identity a² - b² = (a - b) (a + b)
⇒ (4x)² - (9)² = (4x - 9) (4x + 9)
Step 3: Put the solutions equal to 0.
Solving for x, we get
⇒ 4x - 9 = 0 or 4x = 9
⇒ 4x + 9 = 0 or 4x = -9
Therefore, x = ± 9/4.
Solve: 16x² − 81 = 0.
x = 4, 9, x = - 4, - 9, x = 9 over 4, x = - 9/4, x = 81/16, x = - 81/16
Summary:
The value of x which satisfies the equation 16x² − 81 = 0 is x = -9/4, 9/4.
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